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| VOLUME 89 | ISSUE 11 |
PAGE 631
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| Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops |
N. A. Kivel+*, M. V. Polyakov+*, A. A. Vladimirov
+ Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
*Petersburg Nuclear Physics Institute, 188300 Gatchina, St. Petersburg, Russia
 Bogolubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia
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PACS: 11.10.Gh, 12.38.Lg, 12.39.Fe
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Abstract
We develop the method of calculation of the leading chiral
(infrared) logarithms to an arbitrary loop order for various form factors of
Nambu-Goldstone bosons. The method is illustrated on example of scalar and
vector form factors in massless 4D O(N+1)/O(N) σ-model. The
analytical properties of the form factors are derived. The leading chiral
(infrared) logarithms are summed up in the large N limit.
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